Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
50820r |
Isogeny class |
Conductor |
50820 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-523815156480 = -1 · 28 · 3 · 5 · 7 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2581,-62185] |
[a1,a2,a3,a4,a6] |
Generators |
[865:25410:1] |
Generators of the group modulo torsion |
j |
-4194304/1155 |
j-invariant |
L |
6.8850084165598 |
L(r)(E,1)/r! |
Ω |
0.33016592244745 |
Real period |
R |
3.4755294981731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4620i1 |
Quadratic twists by: -11 |